Advertisements
Advertisements
Question
A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross the bridge of length 850 m
Solution
Length of the train = 150 m
Constant velocity of the train = 12.5 m/s
The time taken to cross the bridge of length 850 m
The equation of motion is y = 12.5x – 150
To find the time taken to cross the bridge of length 850 m,
Put y = 850
850 = 12.5x – 150
12.5x = 850 + 150 = 1000
x = `1000/12.5`
= `10000/125`
= 80 sec
APPEARS IN
RELATED QUESTIONS
Find the slope of the following line which passes through the points:
G(7, 1), H(−3, 1)
Without using Pythagoras theorem show that points A(4, 4), B(3, 5) and C(−1, −1) are the vertices of a right angled triangle.
Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured anticlockwise
Select the correct option from the given alternatives:
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y−interecpt is
Answer the following question:
Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear
The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the linear relationship between C and F
The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the value of C for 98.6°F
An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find the distance between the place and the target
An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find the distance covered by it in 15 seconds
Population of a city in the years 2005 and 2010 are 1,35,000 and 1,45,000 respectively. Find the approximate population in the year 2015. (assuming that the growth of population is constant)
Find the equation of the straight lines passing through (8, 3) and having intercepts whose sum is 1
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using a straight line
A straight line is passing through the point A(1, 2) with slope `5/12`. Find points on the line which are 13 units away from A
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
Weight (kg) | 2 | 4 | 5 | 8 |
Length (cm) | 3 | 4 | 4.5 | 6 |
Find the equation relating the length of the spring to the weight on it
A family is using Liquefied petroleum gas (LPG) of weight 14.2 kg for consumption. (Full weight 29.5kg includes the empty cylinders tare weight of 15.3kg.). If it is used with constant rate then it lasts for 24 days. Then the new cylinder is replaced. Draw the graph for first 96days
In a shopping mall there is a hall of cuboid shape with dimension 800 × 800 × 720 units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the heights at which the escalator changes its direction
The locus of the midpoint of the portion intercept between the axes by the line xcosa + ysina = P where P is a constant is ______.
Find the coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) internally in the ratio 2 : 3.
The equation of the line passing through the point (–3, 1) and bisecting the angle between co-ordinate axes is ______.